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Difference between revisions of "2024 AMC 8 Problems/Problem 20"

(→‎Video Solution 2 by OmegaLearn.org)
(→‎Video Solution 3 by SpreadTheMathLove)
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==Video Solution 3 by SpreadTheMathLove==
 
==Video Solution 3 by SpreadTheMathLove==
 
https://www.youtube.com/watch?v=Svibu3nKB7E
 
https://www.youtube.com/watch?v=Svibu3nKB7E
 +
 +
== Video Solution by CosineMethod [🔥Fast and Easy🔥]==
 +
 +
https://www.youtube.com/watch?v=Xg-1CWhraIM

Revision as of 14:45, 26 January 2024

Problem

Any three vertices of the cube $PQRSTUVW$, shown in the figure below, can be connected to form a triangle. (For example, vertices $P$, $Q$, and $R$ can be connected to form isosceles $\triangle PQR$.) How many of these triangles are equilateral and contain $P$ as a vertex?

$\textbf{(A)}0 \qquad \textbf{(B) }1 \qquad \textbf{(C) }2 \qquad \textbf{(D) }3 \qquad \textbf{(E) }6$

Solution 1

Video Solution 1 by Math-X (First understand the problem!!!)

https://youtu.be/N_9qlD9pgL0

~Math-X

Video Solution 2 by OmegaLearn.org

https://youtu.be/m1iXVOLNdlY

Video Solution 3 by SpreadTheMathLove

https://www.youtube.com/watch?v=Svibu3nKB7E

Video Solution by CosineMethod [🔥Fast and Easy🔥]

https://www.youtube.com/watch?v=Xg-1CWhraIM

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